What is the 8398th prime number?
The 8398th prime number is 86357. The next prime is 86369 (a gap of 12) and the one before is 86353.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8398th one is 86357.
- 2
86357 is prime because no prime up to ā86357 ā 293.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8398th prime is close to 8398 Ć ln(8398) ā 75882, and here it is 86357.
- 4
86357 has no twin: neither 86355 nor 86359 is prime.
Primes around the 8398th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8395 | 86341 | 18 |
| 8396 | 86351 | 10 |
| 8397 | 86353 | 2 |
| 8398 | 86357 | 4 |
| 8399 | 86369 | 12 |
| 8400 | 86371 | 2 |
| 8401 | 86381 | 10 |
Questions
What is the 8398th prime number?
86357.
Which prime number is 86357?
86357 is the 8398th prime number.
What is the sum of the first 8398 primes?
343,140,849.